Where to move with access to nature

Hey y’all! I know there are a lot of these posts but I’m hoping this one is specific enough to get some input. My partner and I currently live on the near east side and while I love it, my partner really craves a house that is closer to nature - either with more land, in a forested kind of area, or with some kind of large park close by. Just wondering if anyone has any leads on areas that might fit this bill around the city. Ideally no more than 20 or so minutes from downtown. Any suggestions appreciated!!!